Geodesic
Bifurcations of stationary regimes in the model of a wind power plant
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 4, pp. 92-98 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article should use a mathematical model of a wind power plant. In the chosen world, alternative energy is actively developing, as natural resources for harmful energy carriers are significantly reduced every year. In turn, the energy reserves of life situations turned out to be related to world problems. Thus, the relevance of this problem is solved in the free system of the wind section. The complexity of this work is determined by the fact that the model, which is not defined, is found completely, that is, part of the functions in the mathematical model is set only graphically, based on experimental data. The graph of relative aerodynamic moment of forces is approximated. The ratio of stationary modes is studied for various values of external resistance of the dynamic model. Conditions are found under which a saddle-node bifurcation and a supercritical Andronov–Hopf bifurcation are observed in the system.
Keywords: mathematical modelling, dynamical models, wind power plant, stationary modes, function approximation, saddle-node bifurcation, differential equations.
Mots-clés : Andronov–Hopf bifurcation 
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     author = {A. S. Kirsanova},
     title = {Bifurcations of stationary regimes in the model of a wind power plant},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {92--98},
     year = {2021},
     volume = {27},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2021_27_4_a6/}
}
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A. S. Kirsanova. Bifurcations of stationary regimes in the model of a wind power plant. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 4, pp. 92-98. http://geodesic.mathdoc.fr/item/VSGU_2021_27_4_a6/

[1] Klimina L.A., Dosayev M.Z., Selyutski Yu.D., “Dynamics of a wind turbine with the working element based on an antiparallel link mechanism”, Mechatronics, Automation, Control, 17:8 (2016), 536–540 (in Russ.) | DOI

[2] Andronov P.R., Dosaev M.Z., Dynnikova G.Ya., Selyutskii Y.D., Strekalov S.D., “Modeling of oscillating wind turbine”, Journal of Machinery Manufacture and Reliability, 38:4 (2009), 383–387 | DOI

[3] Dosaev M.Z., Lin C.H., Lu W.L., Samsonov V.A., Selyutskii Y.D., “A qualitative analysis of the steady modes of small wind power generators”, Journal of Applied Mathematics and Mechanics, 73:3 (2009), 259–263 | DOI

[4] Dosaev M.Z., Samsonov V.A., Seliutski Yu.D., “On the dynamics of a small-scale wind power generator”, Doklady Physics, 52:9 (2007), 493–495 | DOI

[5] Dosaev M.Z., Samsonov V.A., Selyutskii Y.D., Lu W.L., Lin C.H., “Bifurcation of operation modes of small wind power stations and optimization of their characteristics”, Mechanics of Solids, 44:2 (2009), 214–221 | DOI